So when I make this query:

QueryResult qr = binding.query("SELECT Name, MAX(Amount), MIN(Amount) FROM Opportunity GROUP BY Name");

When I traverse the objects, I get:

Name, expr0, expr1

with MessageElement Types

null, Double, Double

How can I detect that expr0 is a MAX function on Amount??

Here is the PartnerSamples example Java code I use to look at the QueryResult:

Ouput looks like this

null
Burlington Textiles Weaving Plant Generator
{http://www.w3.org/2001/XMLSchema}double
Double
235000.0
{http://www.w3.org/2001/XMLSchema}double
Double
235000.0

qr = binding.query("SELECT Name, MAX(Amount), MIN(Amount) FROM Opportunity GROUP BY Name");
int loopCount = 0;
boolean continueLoop = true;
while (continueLoop) {
	System.out.println("Results set " + new Integer(loopCount++).toString()	+ " - ");
	// process the query results
	for (int i = 0; i < qr.getRecords().length; i++) {
		SObject sOB = qr.getRecords()[i];
		if ( i == 0 )
			traverseQueryResult(sOB, "");
		for ( int loc = 0; loc < sOB.get_any().length; loc++){
			MessageElement mel = sOB.get_any()[loc];
			System.out.println(mel.getType());
			if ( mel.getType() != null ){
				System.out.println(mel.getObjectValue().getClass().getSimpleName());
				if ( mel.getObjectValue().getClass().getSimpleName().equalsIgnoreCase( "SObject" ) ){
					SObject sOB2 = (SObject)  mel.getObjectValue();
					System.out.println( sOB2.getType() );
				}else if ( mel.getObjectValue().getClass().getSimpleName().equalsIgnoreCase( "QueryResult" ) ){
					QueryResult qryR = (QueryResult) mel.getObjectValue();
					SObject sub = qryR.getRecords(0);
					for ( int sloc = 0; sloc < sub.get_any().length; sloc++){
						MessageElement smel = sub.get_any()[sloc];
						System.out.println(smel.getValue());
					}
					int size = qryR.getSize();								
					int recLen = qryR.getRecords().length;
					System.out.println("Size=" + size + "    RecordsLen=" + recLen);

					while ( ! qryR.isDone() ){
						//size != recLen
						qryR = binding.queryMore( qryR.getQueryLocator() );
						size = qryR.getSize();
						recLen = qryR.getRecords().length;
						System.out.println("Size=" + size + "    RecordsLen=" + recLen);
					}
				}else if ( mel.getObjectValue().getClass().getSimpleName().equalsIgnoreCase( "Double" ) ){
					System.out.println(mel.getValue());								
					//SObject sOB2 = (SObject)  mel.getObjectValue();
					//above produces Exception ==
					//java.lang.ClassCastException: java.lang.Double cannot be cast to com.sforce.soap.partner.sobject.SObject										}
			}else{
				//it's a Field, print the value
				System.out.println(mel.getValue());
			}
		}
	}
	// handle the loop + 1 problem by checking to see if the most
	// recent queryResult
	if (qr.isDone())
		continueLoop = false;
	else
		qr = binding.queryMore(qr.getQueryLocator());
}
System.out.println("\nQuery succesfully executed.");